457575 has 12 divisors (see below), whose sum is σ = 756648. Its totient is φ = 244000.

The previous prime is 457571. The next prime is 457607. The reversal of 457575 is 575754.

It is not a de Polignac number, because 457575 - 2² = 457571 is a prime.

457575 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2976 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (63054).

2⁴⁵⁷⁵⁷⁵ is an apocalyptic number.

457575 is a deficient number, since it is larger than the sum of its proper divisors (299073).

457575 is a wasteful number, since it uses less digits than its factorization.

457575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6109 counting only the distinct ones).

The product of its digits is 24500, while the sum is 33.

The square root of 457575 is about 676.4429022467. The cubic root of 457575 is about 77.0585375973.

The spelling of 457575 in words is "four hundred fifty-seven thousand, five hundred seventy-five".